Riding their demo bike is a great idea! Also Triumph's Demo Truck will stop by this dealer next month, so I would have a chance to ride another bike in case they come with some excuse about their (dealer's) demo.
This dealer was recommended by a friend that has been riding all kinds of bikes for 40+ years and likes their service dept a lot. It's kinda hard to argue if one does not know the bike well and they say "it will go away". Actually the 1st shift really got better over time, but in the other hand dealers are known for using this excuse when the bike is under warranty, so...
But thanks guys! I will talk to them about the problem, will try to ride their demo and will come back to post the results!